Question
What is the quotient and remainder when $ 3313 $ is divided by $ 8 $ ?
Answer
The quotient is 414 and the remainder is 1.
Explanation
| Division Table | ||||
| 0 | 4 | 1 | 4 | |
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
| – | 8 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | ||||
|
STEP 0: set up a division table |
||||
| 8 | 3 | 3 | 1 | 3 |
|
STEP 1: DIVIDE 3 : 8 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 8 | 3 | 3 | 1 | 3 |
|
STEP 2: MULTIPLY 0 · 8 = 0 |
||||
| 0 | ||||
| 8 | 3 | 3 | 1 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
|
STEP 5: DIVIDE 33 : 8 = 4 with a remainder of 1 |
||||
| 0 | 4 | |||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
|
STEP 6: MULTIPLY 4 · 8 = 32 |
||||
| 0 | 4 | |||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| 3 | 2 | |||
|
STEP 7: SUBTRACT 33 - 32 = 1 |
||||
| 0 | 4 | |||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 4 | |||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
|
STEP 9: DIVIDE 11 : 8 = 1 with a remainder of 3 |
||||
| 0 | 4 | 1 | ||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
|
STEP 10: MULTIPLY 1 · 8 = 8 |
||||
| 0 | 4 | 1 | ||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
| 8 | ||||
|
STEP 11: SUBTRACT 11 - 8 = 3 |
||||
| 0 | 4 | 1 | ||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
| – | 8 | |||
| 3 | ||||
| STEP 12: BRING DOWN | ||||
| 0 | 4 | 1 | ||
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
| – | 8 | |||
| 3 | 3 | |||
|
STEP 13: DIVIDE 33 : 8 = 4 with a remainder of 1 |
||||
| 0 | 4 | 1 | 4 | |
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
| – | 8 | |||
| 3 | 3 | |||
|
STEP 14: MULTIPLY 4 · 8 = 32 |
||||
| 0 | 4 | 1 | 4 | |
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
| – | 8 | |||
| 3 | 3 | |||
| 3 | 2 | |||
|
STEP 15: SUBTRACT 33 - 32 = 1 |
||||
| 0 | 4 | 1 | 4 | |
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
| – | 8 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | ||||
|
STEP 15: SUBTRACT 33 - 32 = 1 |
||||
| 0 | 4 | 1 | 4 | |
| 8 | 3 | 3 | 1 | 3 |
| – | 0 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 1 | |||
| – | 8 | |||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | ||||
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